Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the x-axis of the cylinder. The second plane crosses the first plane at 45° angle at the center of the cylinder. Find the volume of the wedge.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 1E: Does a right circular cylinder such as an aluminum can have a symmetry with respect to at least one...
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Examples:
1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is
perpendicular to the x-axis of the cylinder. The second plane crosses the first plane
at 45° angle at the center of the cylinder. Find the volume of the wedge.
Transcribed Image Text:Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the x-axis of the cylinder. The second plane crosses the first plane at 45° angle at the center of the cylinder. Find the volume of the wedge.
2.) A pyramid 3m high has a square base that is 3m on a side. The cross-section of the
pyramid perpendicular to the altitude x m down from the vertex is a square x m on a
side. Find the volume of the pyramid.
Transcribed Image Text:2.) A pyramid 3m high has a square base that is 3m on a side. The cross-section of the pyramid perpendicular to the altitude x m down from the vertex is a square x m on a side. Find the volume of the pyramid.
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